Measuring Volume

Measuring Volume

In physics, Measuring volume is a measuring of the three-dimensional space occupied by a substance or enclosed within a container. It is typically measured in cubic units such as cubic meters (m³) or cubic centimeters (cm³).

Volume as a three dimensional quantity, is obtained when three lengths are multiplied together.

Another popular definition is that volume is a measure of space.

because volume results from product of three lengths, the SI unit of volume is cubic-meter(m3). That is, SI unit of volume is the cube of the SI unit of length. This tells us that volume is a derived quantity.

However, There are common sub-multiples of volumes like:

  • cubic-centimeters (cm3)
  • cubic-millimeters (mm3)
  • cubic-micrometers (µm3) ………….just to name a few.

1m3 =1m x 1m x1m

but 1m =100cm

hence 1m3 =100cm x 100cm x 100cm = 1000000cm3.

From Volume, we can find units of capacity like litres(l) and millitres(ml).

1 ml =1cm3

1 litre = 1000ml

1 m3 = 1000 litres.

when you buy a half litre packet of milk from the supermarket, you are actually buying 500ml of milk.

Example in Measuring Volume: Converting mm3 to m3

Express 43.5mm3 into m3.

Solution

Example

convert 0.00006 m3 into cm3

Solution

practice Questions

The radius of a typical atom is considered to have a volume of 10-10m3. Express the given volume in:

  1. mm3
  2. cm3
  3. µm3

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